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# During the labs, you performed statistical tests to compare observations from different groups of data.

INSTRUCTIONS TO CANDIDATES
###### ANSWER ALL QUESTIONS

calculations on your answer sheets and include the measurement units with your quantitative answers. MATLAB can be used for some of the questions. Submit hard copies of your answer sheets by the deadline. Total points: 8

Question 1 (2 pts.): During the labs, you performed statistical tests to compare observations from different groups of data. The table on the right shows data that are taken from a study that compares adolescents who have bulimia to healthy adolescents with similar body compositions and levels of physical activity. The data consist of measures of daily caloric intake for random samples of 23 bulimic adolescents and 15 healthy ones. Perform statistical tests in MATLAB to test the alternative hypothesis that the daily caloric intake of the population of individuals suffering from bulimia is different from the caloric intake of the healthy population. Conduct all necessary tests at the 5% level

of significance. Report the p-value, the 95% confidence interval, and provide your conclusion. How does the confidence interval relate with your final test decision? Report your code along with the descriptive interpretations of your statistical results.

Question 2 (2 pts.): The table on the right shows the pesticide residue levels (ppb) in blood samples of four different groups of human subjects. Conduct statistical tests using MATLAB to determine whether at least one of the groups has pesticide residue levels that is significantly different from that of the other groups. Conduct all tests at the 5% significance level. If there are differences, use the Tukey’s honest significant difference test to determine the pairs of groups that had significantly different pesticide residue levels at the 5%

Groups

A B C D

10

37

12

44

12

15

31 4

35

32

11

7

32

19 15

5

10

9

11

9

12 7

11

10

4

5

2

8

significance level. Report the p-value for each test and provide your conclusions. Report your code along with the descriptive interpretations of your statistical results.

Question 3 (2 pts.): State three assumptions that must be fulfilled in order to perform a one- way ANOVA test. State the null and alternative hypotheses for a one-way ANOVA test if there are four groups. What is the degree of freedom associated with the between-groups variance?

Question 4 (2 pts.): In a research study, 10 patients with hypertriglyceridemia were placed on a low-fat, high-carbohydrate diet. Before the start of the diet, cholesterol and triglyceride measurements were recorded for each subject (see Table of data and questions on next page).

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